225774720 has 192 divisors, whose sum is σ = 821059200. Its totient is φ = 57010176.

The previous prime is 225774713. The next prime is 225774721. The reversal of 225774720 is 27477522.

225774720 is a `hidden beast` number, since 22 + 577 + 47 + 20 = 666.

225774720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225774721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108409 + ... + 110471.

It is an arithmetic number, because the mean of its divisors is an integer number (4276350).

Almost surely, 2^225774720 is an apocalyptic number.

225774720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410529600).

225774720 is an abundant number, since it is smaller than the sum of its proper divisors (595284480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225774720 is a wasteful number, since it uses less digits than its factorization.

225774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 225774720 is about 15025.8018088886. The cubic root of 225774720 is about 608.9174744800.

The spelling of 225774720 in words is "two hundred twenty-five million, seven hundred seventy-four thousand, seven hundred twenty".